Consider the boundary value problem Prove this problem has a

Consider the boundary value problem:

Prove this problem has at most one solution.

Answer to question: The variable here is x

Solution

Solution to this boundary value problem is more of a logical explanation than solving it.

We can see that for the given boundary value problem, both f and df/dx are continuous and bounded, therefore, as per uniqueness theorem, this boundary value problem has a unique solution on the given boundary conditions.